Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600a |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
771840 |
Modular degree for the optimal curve |
Δ |
231126925966387200 = 211 · 39 · 52 · 475 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 6 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154035,-2535570] |
[a1,a2,a3,a4,a6] |
Generators |
[-54901932:846964809:3241792] |
Generators of the group modulo torsion |
j |
401070479670/229345007 |
j-invariant |
L |
7.4764301938534 |
L(r)(E,1)/r! |
Ω |
0.26110669185012 |
Real period |
R |
14.316810767119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600bf1 84600bk1 |
Quadratic twists by: -3 5 |